Core Connections Integrated II Book Cover

Core Connections Integrated II Book Cover

Core Connections Integrated II

Additional Textbook Resources


TABLE OF CONTENTS

[ Open All | Close All ]

Chapter 1: Exploring Algebraic and Geometric Relationships
Opening 1.OP Chapter Opening
Section 1.1 1.1.1 Attributes of Polygons
1.1.2 More Attributes of Polygons
Section 1.2 1.2.1 Making Predictions and Investigating Results
1.2.2 Perimeters and Areas of Enlarging Patterns
1.2.3 Area as a Product and a Sum
1.2.4 Describing a Graph
Section 1.3 1.3.1 Angle Pair Relationships
1.3.2 Angles Formed by Transversals
1.3.3 More Angles Formed by Transversals
1.3.4 Angles and Sides of a Triangle
Closure 1.CL Chapter Closure

Chapter 2: Justification and Similarity
Opening 2.OP Chapter Opening
Section 2.1 2.1.1 Triangle Congruence Theorems
2.1.2 Flowcharts for Congruence
2.1.3 Converses
2.1.4 Proof by Contradiction
Section 2.2 2.2.1 Dilations
2.2.2 Similarity
Section 2.3 2.3.1 Conditions for Triangle Similarity
2.3.2 Determining Similar Triangles
2.3.3 Applying Similarity
2.3.4 Similar Triangle Proofs
Closure 2.CL Chapter Closure

Chapter 3: Probability and Trigonometry
Opening 3.OP Chapter Opening
Section 3.1 3.1.1 Using an Area Model
3.1.2 Using a Tree Diagram
3.1.3 Probability Models
3.1.4 Unions, Intersections, and Complements
3.1.5 Expected Value
 Section 3.2 3.2.1 Constant Ratios in Right Triangles
3.2.2 Connecting Slope Ratios to Specific Angles
3.2.3 Expanding the Trig Table
3.2.4 The Tangent Ratio
3.2.5 Applying the Tangent Ratio
Closure 3.CL Chapter Closure

Chapter 4: Factoring and More Trigonometry
Opening 4.OP Chapter Opening
Section 4.1 4.1.1 Introduction to Factoring Expressions
4.1.2 Factoring with Area Models
4.1.3 Factoring More Quadratics
4.1.4 Factoring Completely
4.1.5 Factoring Special Cases
Section 4.2 4.2.1 Sine and Cosine Ratios
4.2.2 Selecting a Trig Tool
4.2.3 Inverse Trigonometry
4.2.4 Trigonometric Applications
Closure 4.CL Chapter Closure

Chapter 5: Quadratic Functions
Opening 5.OP Chapter Opening
Section 5.1 5.1.1 Investigating the Graphs of Quadratic Functions
5.1.2 Multiple Representations of Quadratic Functions
5.1.3 Zero Product Property
5.1.4 Writing Equations for Quadratic Functions
5.1.5 Completing the Quadratic Webs
Section 5.2 5.2.1 Perfect Square Equations
5.2.2 Completing the Square
5.2.3 More Completing the Square
5.2.4 Introduction to the Quadratic Formula
5.2.5 Solving and Applying Quadratic Equations
5.2.6 Introducing Complex Numbers
Closure 5.CL Chapter Closure

Chapter 6: More Right Triangles
Opening 6.OP Chapter Opening
Section 6.1 6.1.1 Special Right Triangles
6.1.2 Pythagorean Triples
6.1.3 Special Right Triangles and Trigonometry
6.1.4 Radicals and Fractional Exponents
 Section 6.2 6.2.1 At Your Service
6.2.2 Angles on a Pool Table
6.2.3 Shortest Distance Problems
6.2.4 The Number System and Deriving the Quadratic Formula
6.2.5 Using Algebra to Find a Maximum
6.2.6 Analyzing a Game
Closure 6.CL Chapter Closure

Chapter 7: Proof and Conditional Probability
Opening 7.OP Chapter Opening
Section 7.1 7.1.1 Explore-Conjecture-Prove
7.1.2 Properties of Rhombi
7.1.3 Two Column Proofs
7.1.4 More Geometric Proofs
7.1.5 Using Similar Triangles to Prove Theorems
Section 7.2 7.2.1 Conditional Probability and Independence
7.2.2 More Conditional Probability
7.2.3 Applications of Probability
Closure 7.CL Chapter Closure

Chapter 8: Polygons and Circles
Opening 8.OP Chapter Opening
Section 8.1 8.1.1 Constructing Triangle Centers
Section 8.2 8.2.1 Angles of Polygons
8.2.2 Areas of Regular Polygons
Section 8.3 8.3.1 Area Ratios of Similar Figures
8.3.2 Ratios of Similarity
Section 8.4 8.4.1 A Special Ratio
8.4.2 Arcs and Sectors
8.4.3 Circles in Context
Closure 8.CL Chapter Closure

Chapter 9: Modeling with Functions
Opening 9.OP Chapter Opening
Section 9.1 9.1.1 Modeling Nonlinear Data
9.1.2 Parabola Investigation
9.1.3 Graphing Form of a Quadratic Function
9.1.4 Transforming the Absolute Value Function
Section 9.2 9.2.1 Quadratic Applications with Inequalities
9.2.2 Solving Systems of Equations
Section 9.3 9.3.1 Average Rate of Change and Projectile Motion
9.3.2 Comparing the Growth of Functions
9.3.3 Piecewise-Defined Functions
9.3.4 Combining Functions
Section 9.4 9.4.1 Inverse Functions
Closure 9.CL Chapter Closure

Chapter 10: Circles and More
Opening 10.OP Chapter Opening
Section 10.1 10.1.1 The Equation of a Circle
10.1.2 Completing the Square for Equations of Circles
10.1.3 The Geometric Definition of a Parabola
Section 10.2 10.2.1 Introduction to Chords
10.2.2 Angles and Arcs
10.2.3 Chords and Angles
10.2.4 Tangents
10.2.5 Tangents and Arcs
Closure 10.CL Chapter Closure

Chapter 11: Solids
Opening 11.OP Chapter Opening
Section 11.1 11.1.1 Prisms and Cylinders
11.1.2 Volumes of Similar Solids
11.1.3 Ratios of Similarity
Section 11.2 11.2.1 Volume of a Pyramid
11.2.2 Surface Area and Volume of a Cone
11.2.3 Surface Area and Volume of a Sphere
Closure 11.CL Chapter Closure

Chapter 12: Counting and Closure
Opening 12.OP Chapter Opening
Section 12.1 12.1.1 The Fundamental Counting Principle
12.1.2 Permutations
12.1.3 Combinations
12.1.4 Categorizing Counting Problems
Section 12.2 12.2.1 Using Geometry to Calculate Probabilities
12.2.2 Choosing a Model
12.2.3 The Golden Ratio
12.2.4 Some Challenging Probability Problems
Closure 12.CL Chapter Closure

Checkpoint Materials
CP 1: Solving Problems with Linear and Exponential Relationships
CP 2: Calculating Areas and Perimeters of Complex Shapes
CP 3: Angle Relationships in Geometric Figures
CP 4: Solving Proportions and Similar Figures
CP 5: Calculating Probabilities
CP 7: Factoring Quadratic Expressions
CP 8: Applying Trigonometric Ratios and the Pythagorean Theorem
CP 9: The Quadratic Web
CP 10: Solving Quadratic Equations
CP 11: Angle Measures and Areas of Regular Polygons
CP 12: Circles, Arcs, Sectors, Chords, and Tangents

Glossary
Index
 
 

RESOURCE PAGES

[ Open All | Close All ]

Chapter 1: Exploring Algebraic and Geometric Relationships
Chapter 2: Justification and Similarity
Chapter 3: Probability and Trigonometry
Chapter 4: Factoring and More Trigonometry
Chapter 5: Quadratic Functions
Chapter 6: More Right Triangles
Chapter 7: Proof and Conditional Probability
Chapter 8: Polygons and Circles
Chapter 9: Modeling with Functions
Chapter 10: Circles and More
Chapter 11: Solids
Chapter 12: Counting and Closure

PARENT GUIDE W/ EXTRA PRACTICE

Sometimes students want an alternative explanation of an idea along with additional practice problems. The Parent Guide resources are arranged by chapter. The format of these resources is a brief restatement of the idea, some typical examples, practice problems, and the answers to those problems.

The Parent Guide is available as a printed copy for purchase at the CPM Web Store or accessible free below.

[ Open All | Close All ]

Parent Guide by Chapter

Chapter 1: Exploring Algebraic and Geometric Relationships
Chapter 2: Justification and Similarity
Chapter 3: Probability and Trigonometry
Chapter 4: Factoring and More Trigonometry
Chapter 5: Quadratic Functions
Chapter 6: More Right Triangles
Chapter 7: Proof and Conditional Probability
Chapter 8: Polygons and Circles
Chapter 9: Modeling with Functions
Chapter 10: Circles and More
Chapter 11: Solids
Chapter 12: Counting and Closure

[ Open All | Close All ]

General eTools
Chapter 1: Exploring Algebraic and Geometric Relationships
Chapter 2: Justification and Similarity
Chapter 3: Probability and Trigonometry
Chapter 4: Factoring and More Trigonometry
Chapter 5: Quadratic Functions
Chapter 6: More Right Triangles
Chapter 7: Proof and Conditional Probability
Chapter 8: Polygons and Circles
Chapter 9: Modeling with Functions
Chapter 10: Circles and More
Chapter 11: Solids
Chapter 12: Counting and Closure

PÁGINAS DE RECURSOS

[ Open All | Close All ]

Capítulo 1: Exploración de relaciones algebraicas y geométricas
Capítulo 2: Justificación y semejanzas
Capítulo 3: Probabilidad y trigonometría
Capítulo 4: Factorización y más trigonometría
Capítulo 5: Funciones cuadráticas
Capítulo 6: Más triángulos rectángulos
Capítulo 7: Demostración y probabilidad condicional
Capítulo 8: Polígonos y círculos
Capítulo 9: Modelado con funciones
Capítulo 10: Círculos y más
Capítulo 11: Sólidos
Capítulo 12: Conteo y cierre

GUÍA PARA PADRES CON PRÁCTICA ADICIONAL

Bienvenidos a la Guía para padres con práctica adicional de Core Connections. El objeto de la presente guía es brindarles ayuda si su hijo o hija necesita ayuda con las tareas o con los conceptos que se enseñan en el curso. Consideramos que a todos los alumnos les puede ir bien en matemática, siempre que estén dispuestos a trabajar y a pedir ayuda cuando la necesitan. Les recomendamos que hablen con el docente de su hijo o hija si ellos tienen preguntas adicionales que no se responden en esta guía.

Guía para padres con práctica adicional por capítulo: